Silvia Costa Acosta-Martínez (born May 4, 1964, in La Palma, Pinar del Río Province) is a former high jumper from Cuba.

Costa is most known for winning medals at the 1985 IAAF World Indoor Championships and the 1993 World Championships in Athletics.

Her personal best jump (set in 1989) is 2.04 m (6 ft 8+1⁄4 in), which makes her a member of the female two metres club and puts her ninth in the all-time performers list.

She is also a three-time silver medallist at the Pan American Games.

Costa is married to Spanish citizen José Sanleandro.